In this scenario, it has not yet engaged the bulk of the forces of the US military. It’s wiping out the brass in the Pentagon, not fighting US Soldiers.
Besides, soldiers usually act on orders, and the lines of communication are sort of in chaos at the moment due to the sudden decapitation.
Microwave up some popcorn and watch.
Seriously, though, if it gets to that point, there’s probably nothing you can do. What resources would you have access to that the military doesn’t?
In this scenario, it has not yet engaged the bulk of the forces of the US military. It’s wiping out the brass in the Pentagon, not fighting US Soldiers.
Besides, soldiers usually act on orders, and the lines of communication are sort of in chaos at the moment due to the sudden decapitation.
Given the capacity you describe, why do you think that the AI will have any difficulty neutralizing the threat from the bulk of the armed forces?
In other words, the three word summary for your scenario is “humanity is doomed”